├── .gitignore ├── 3d3.png ├── GGM.m ├── example.m ├── result.mat ├── GGM_multbeam.m ├── depth_plan.png ├── ggm_data_density.m ├── ship_gravity_process ├── cal2jd.m ├── cal2wd.m ├── jd2cal.m ├── cal2gps.m ├── cal2mjd.m ├── cal2wd1.m ├── cal2wd2.m ├── gps2cal.m ├── gps2cal1.m ├── mjd2cal.m ├── modified_ship_gravity.m ├── filewrite.m └── xyz │ └── dme28.xyz ├── gmt.conf ├── 3d2.bat ├── plot_plan.bat ├── afric.m ├── README.md ├── LICENSE └── check.txt /.gitignore: -------------------------------------------------------------------------------- 1 | *.nc 2 | *.cpt 3 | *.ps 4 | gmt.history 5 | tmp.* 6 | *.grd 7 | *.png 8 | *.grd -------------------------------------------------------------------------------- /3d3.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GenericAltimetryTools/gravity-derived-depth/HEAD/3d3.png -------------------------------------------------------------------------------- /GGM.m: 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-------------------------------------------------------------------------------- https://raw.githubusercontent.com/GenericAltimetryTools/gravity-derived-depth/HEAD/ship_gravity_process/modified_ship_gravity.m -------------------------------------------------------------------------------- /gmt.conf: -------------------------------------------------------------------------------- 1 | # 2 | # GMT 6.4.0 Defaults file 3 | # 4 | # FONT Parameters 5 | # 6 | FONT_ANNOT_PRIMARY = 7p,Helvetica,black 7 | FONT_LABEL = 7p,Helvetica,black 8 | # 9 | # FORMAT Parameters 10 | # 11 | FORMAT_GEO_MAP = ddd.xxxxF 12 | # 13 | # MAP Parameters 14 | # 15 | MAP_FRAME_WIDTH = 2p 16 | -------------------------------------------------------------------------------- /ship_gravity_process/filewrite.m: -------------------------------------------------------------------------------- 1 | function filewrite(filename,filedata) 2 | %filedata is the array of outputfile, filename is the file name 3 | %for example : 4 | %filewrite('outputfile1',filedata) 5 | %this function is aimed to save a array to a file.txt 6 | 7 | 8 | 9 | file=strcat(filename);% 10 | 11 | fid = fopen(file,'wt');%OUtput file 12 | [len1,len2]=size(filedata); 13 | for i=1:1:len1 14 | for j=1:1:len2 15 | 16 | if j==len2 17 | fprintf(fid,'%1.6f\n',filedata(i,j)); 18 | else 19 | fprintf(fid,'%1.6f\t',filedata(i,j)); 20 | end 21 | end 22 | end 23 | fclose(fid); 24 | 25 | 26 | 27 | -------------------------------------------------------------------------------- /3d2.bat: -------------------------------------------------------------------------------- 1 | rem 2 | gmt gmtset FORMAT_GEO_MAP = ddd:mmF 3 | gmt gmtset MAP_FRAME_WIDTH=2p 4 | gmt gmtset FONT_ANNOT_PRIMARY 7p,Helvetica,black FONT_LABEL 8p,Helvetica,black 5 | 6 | set ps=3d3.ps 7 | set R=-Rggm.grd 8 | set R3=-R142.6/147.3/23/27/-8000/-20 9 | 10 | gmt grd2cpt ggm.grd -Crainbow -E200>depth_plan.cpt 11 | gmt grdgradient ggm.grd -A0 -Gt_intens.nc -Nt0.75 %R% 12 | 13 | gmt grdview ggm.grd -It_intens.nc %R3% -JM5i -p170/80 -JZ5i -Cdepth_plan.cpt -K -Y1.5i -Qs -B60m -N-8000+glightgray -BNESW > %ps% 14 | gmt psscale %R% -JM5i -p -DjBC+o0.i/-0.8i+w3i/0.15i+e -Cdepth_plan.cpt -I -O -Bx2000 -By+lm --FONT_LABEL=10p,Helvetica,black >> %ps% 15 | gmt psconvert %ps% -A -P -Tg 16 | del gmt.history -------------------------------------------------------------------------------- /plot_plan.bat: -------------------------------------------------------------------------------- 1 | rem Leiyang, FIO, leiyang@fio.org.cn 2 | 3 | gmt gmtset FORMAT_GEO_MAP = ddd.xxxxF 4 | gmt gmtset MAP_FRAME_WIDTH=2p 5 | gmt gmtset FONT_ANNOT_PRIMARY 7p,Helvetica,black FONT_LABEL 7p,Helvetica,black 6 | 7 | grdinfo ggm.grd 8 | gmt grd2cpt ggm.grd -Crainbow -E200>depth_plan.cpt 9 | gmt grdimage ggm.grd -JM5.5i -I+a45+nt1 -Cdepth_plan.cpt -K -P -Y5 -Q -Rggm.grd > depth_plan.ps 10 | rem gmt grdcontour ggm.grd -J -C200 -A800+f7p -L-6000/-2000 -Gd2i -O -K -S4 -Wa0.3p, -R>> depth_plan.ps 11 | gmt pscoast -R -J -O -Df+ -Gyellow -W0.5p -Baf -BnWSe -K >>depth_plan.ps 12 | gmt psbasemap -R -J -O -LjLT+c27.8414S+f+w1000e+u+o0.1i --FONT_ANNOT_PRIMARY=9p --FONT_LABEL=7p -K>>depth_plan.ps 13 | gmt psscale -DjBC+o0c/-2.2c+w3.8i/0.08ih -R -J -Cdepth_plan.cpt -Bx2000f -By+lm -I -O -F+gwhite+p1p --FONT_ANNOT_PRIMARY=7p >> depth_plan.ps 14 | 15 | gmt psconvert depth_plan.ps -A -P -Tg 16 | del gmt.history 17 | -------------------------------------------------------------------------------- /afric.m: -------------------------------------------------------------------------------- 1 | % This is an simple example for ocean bathy retrieving using GGM. The test 2 | % area was selected over the Gulf of Guinea. 3 | % Test enviroment: GMT 6.1.1, Matlab R2018b, Windows10 4 | % Author: Wang Yongkang 5 | % Editor: Lei Yang 6 | 7 | %% Set GMT path. 8 | oldpath = path; 9 | path(oldpath,'C:\programs\gmt6exe\bin'); % should change it to your path. 10 | 11 | clc 12 | clear 13 | 14 | %% Set loading files 15 | % gmt grdcut -R-15/5/-4/4 Free_Air_Gravity_Anomalies.nc -Gsubset.nc 16 | range='-15/5/-4/4'; % ocean area 17 | order=['grd2xyz guinea.nc ']; 18 | free0=gmt(order); 19 | free=free0.data; 20 | 21 | % The same as the Python AI 22 | control=load('cont.txt'); % Input ocean depth data 23 | check=load('chec.txt'); 24 | d=-8000; 25 | 26 | %% Call the GGM function 27 | result=GGM(free,control,check,d,range); 28 | % Show the information of result 29 | X = [' The mean difference between GGM and the truth is: ',num2str(mean(result.detaD)),' meter']; 30 | disp(X) 31 | X = [' The STD difference between GGM and the truth is: ',num2str(std(result.detaD)),' meter']; 32 | disp(X) 33 | X = [' The best rou is: ',num2str(result.rou)]; 34 | disp(X) 35 | 36 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # gravity ocean depth (GOD) 2 | 3 | ![](./3d3.png) 4 | 5 | ## Introduction 6 | 使用重力地质法（ggm），以重力异常、船测水深为参数进行水深反演。 7 | 8 | 主要使用matlab＋gmt实现ggm算法。 9 | ## usage 10 | result=GGM(free,control,check,d,range) 11 | 12 | free为重力异常 13 | 14 | control为控制水深点 15 | 16 | check为检核水深点 17 | 18 | d为参考深度 19 | 20 | range为反演范围 21 | 22 | 23 | result包含了所有的反演结果 24 | 25 | result.stdinfo为最优密度差 26 | 27 | output.rou为标准差 28 | 29 | output.d为参考深度 30 | 31 | output.detaD为反演水深点与检核点深度差值 32 | 33 | output.rou_std_list为不同密度下相关系数和标准差 34 | ggm.drd is the output result 35 | 36 | ## Plot 37 | Use the `3d2.bat` to make 3D figure as shown in the top. 38 | Use the `plot_plan.bat` to make 2D figure. 39 | 40 | ## Bug 41 | You may have the wrong message that the calculated parameters from GMT is not `stucture`. In that case, just remove the `.data` for all of the parameters got from GMT. For example, change the `control.data(:,1:2)` to `control(:,1:2)`. 42 | 43 | This bug may caused by GMT version changes. 44 | 45 | ## Citation 46 | In preparation. 47 | ## Contributor 48 | This program is provided by [Wang Yongkang](https://github.com/orgs/GenericAltimetryTools/people/linfengaa). 49 | ## Acknowledgment 50 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | GNU GENERAL PUBLIC LICENSE 2 | Version 3, 29 June 2007 3 | 4 | Copyright (C) 2007 Free Software Foundation, Inc. 5 | Everyone is permitted to copy and distribute verbatim copies 6 | of this license document, but changing it is not allowed. 7 | 8 | Preamble 9 | 10 | The GNU General Public License is a free, copyleft license for 11 | software and other kinds of works. 12 | 13 | The licenses for most software and other practical works are designed 14 | to take away your freedom to share and change the works. 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Use with the GNU Affero General Public License. 553 | 554 | Notwithstanding any other provision of this License, you have 555 | permission to link or combine any covered work with a work licensed 556 | under version 3 of the GNU Affero General Public License into a single 557 | combined work, and to convey the resulting work. The terms of this 558 | License will continue to apply to the part which is the covered work, 559 | but the special requirements of the GNU Affero General Public License, 560 | section 13, concerning interaction through a network will apply to the 561 | combination as such. 562 | 563 | 14. Revised Versions of this License. 564 | 565 | The Free Software Foundation may publish revised and/or new versions of 566 | the GNU General Public License from time to time. Such new versions will 567 | be similar in spirit to the present version, but may differ in detail to 568 | address new problems or concerns. 569 | 570 | Each version is given a distinguishing version number. If the 571 | Program specifies that a certain numbered version of the GNU General 572 | Public License "or any later version" applies to it, you have the 573 | option of following the terms and conditions either of that numbered 574 | version or of any later version published by the Free Software 575 | Foundation. If the Program does not specify a version number of the 576 | GNU General Public License, you may choose any version ever published 577 | by the Free Software Foundation. 578 | 579 | If the Program specifies that a proxy can decide which future 580 | versions of the GNU General Public License can be used, that proxy's 581 | public statement of acceptance of a version permanently authorizes you 582 | to choose that version for the Program. 583 | 584 | Later license versions may give you additional or different 585 | permissions. However, no additional obligations are imposed on any 586 | author or copyright holder as a result of your choosing to follow a 587 | later version. 588 | 589 | 15. Disclaimer of Warranty. 590 | 591 | THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY 592 | APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT 593 | HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY 594 | OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, 595 | THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 596 | PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM 597 | IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF 598 | ALL NECESSARY SERVICING, REPAIR OR CORRECTION. 599 | 600 | 16. Limitation of Liability. 601 | 602 | IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING 603 | WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS 604 | THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY 605 | GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE 606 | USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF 607 | DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD 608 | PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), 609 | EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF 610 | SUCH DAMAGES. 611 | 612 | 17. Interpretation of Sections 15 and 16. 613 | 614 | If the disclaimer of warranty and limitation of liability provided 615 | above cannot be given local legal effect according to their terms, 616 | reviewing courts shall apply local law that most closely approximates 617 | an absolute waiver of all civil liability in connection with the 618 | Program, unless a warranty or assumption of liability accompanies a 619 | copy of the Program in return for a fee. 620 | 621 | END OF TERMS AND CONDITIONS 622 | 623 | How to Apply These Terms to Your New Programs 624 | 625 | If you develop a new program, and you want it to be of the greatest 626 | possible use to the public, the best way to achieve this is to make it 627 | free software which everyone can redistribute and change under these terms. 628 | 629 | To do so, attach the following notices to the program. It is safest 630 | to attach them to the start of each source file to most effectively 631 | state the exclusion of warranty; and each file should have at least 632 | the "copyright" line and a pointer to where the full notice is found. 633 | 634 | 635 | Copyright (C) 636 | 637 | This program is free software: you can redistribute it and/or modify 638 | it under the terms of the GNU General Public License as published by 639 | the Free Software Foundation, either version 3 of the License, or 640 | (at your option) any later version. 641 | 642 | This program is distributed in the hope that it will be useful, 643 | but WITHOUT ANY WARRANTY; without even the implied warranty of 644 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 645 | GNU General Public License for more details. 646 | 647 | You should have received a copy of the GNU General Public License 648 | along with this program. If not, see . 649 | 650 | Also add information on how to contact you by electronic and paper mail. 651 | 652 | If the program does terminal interaction, make it output a short 653 | notice like this when it starts in an interactive mode: 654 | 655 | Copyright (C) 656 | This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. 657 | This is free software, and you are welcome to redistribute it 658 | under certain conditions; type `show c' for details. 659 | 660 | The hypothetical commands `show w' and `show c' should show the appropriate 661 | parts of the General Public License. Of course, your program's commands 662 | might be different; for a GUI interface, you would use an "about box". 663 | 664 | You should also get your employer (if you work as a programmer) or school, 665 | if any, to sign a "copyright disclaimer" for the program, if necessary. 666 | For more information on this, and how to apply and follow the GNU GPL, see 667 | . 668 | 669 | The GNU General Public License does not permit incorporating your program 670 | into proprietary programs. If your program is a subroutine library, you 671 | may consider it more useful to permit linking proprietary applications with 672 | the library. If this is what you want to do, use the GNU Lesser General 673 | Public License instead of this License. But first, please read 674 | . 675 | -------------------------------------------------------------------------------- /check.txt: -------------------------------------------------------------------------------- 1 | 146.952800 23.245800 -5941.000000 2 | 147.025300 23.565100 -5884.000000 3 | 147.139300 23.912000 -5880.000000 4 | 147.183800 24.164900 -5866.000000 5 | 147.240500 24.473900 -5194.000000 6 | 147.259400 24.572100 -4776.000000 7 | 147.279300 24.675000 -4437.000000 8 | 147.277700 26.450000 -5441.000000 9 | 147.236700 26.564600 -5464.000000 10 | 147.209500 26.557700 -5453.000000 11 | 147.196300 26.621800 -5467.000000 12 | 147.194600 26.874600 -5620.000000 13 | 143.363200 26.935900 -8096.000000 14 | 143.420000 26.834100 -7263.000000 15 | 143.483600 26.700200 -6072.000000 16 | 143.544300 26.579100 -4762.000000 17 | 143.615100 26.448500 -3911.000000 18 | 143.675200 26.333500 -3297.000000 19 | 143.744200 26.209800 -2892.000000 20 | 143.810700 26.098900 -2467.000000 21 | 143.877700 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170.22288 15.25947 -24.3 3782 | 170.1862 15.27442 -24.4 3783 | 170.14952 15.28937 -24.9 3784 | 170.11283 15.3043 -25.1 3785 | 170.07615 15.31925 -23.6 3786 | 170.03947 15.33418 -21.5 3787 | 170.00278 15.34913 -21.6 3788 | 169.96608 15.36407 -22.6 3789 | 169.9294 15.37902 -24.8 3790 | 169.89272 15.39395 -25.2 3791 | 169.85603 15.4089 -24.9 3792 | 169.81935 15.42385 -26.6 3793 | 169.78378 15.43838 -23.4 3794 | 169.7487 15.45275 -25.6 3795 | 169.71363 15.46712 -28.3 3796 | 169.67855 15.48148 -29 3797 | 169.64347 15.49583 -32.6 3798 | 169.60838 15.5102 -34.3 3799 | 169.57332 15.52457 -35 3800 | 169.53823 15.53893 -37.3 3801 | 169.50315 15.5533 -36.5 3802 | 169.46807 15.56767 -36 3803 | 169.433 15.58203 -35.1 3804 | 169.2576 15.65385 -28.3 3805 | 169.22252 15.66822 -27 3806 | 169.18743 15.68258 -27.3 3807 | 169.15235 15.69695 -28.7 3808 | 169.11728 15.71132 -29.2 3809 | 169.0822 15.72568 -28.3 3810 | 169.04493 15.7395 -36.6 3811 | 169.00673 15.7531 -37.4 3812 | 168.96852 15.76668 -38.3 3813 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16.3909 165.2 3846 | 167.20828 16.40507 179.3 3847 | 167.16945 16.41922 171.9 3848 | 167.13063 16.43338 155.8 3849 | 167.0918 16.44755 122 3850 | 167.05297 16.4617 77.7 3851 | 167.01415 16.47587 43.3 3852 | 166.97532 16.49002 18.5 3853 | 166.93648 16.50418 1.8 3854 | 166.75912 16.57177 -31.3 3855 | 166.72027 16.58778 -37.4 3856 | 166.6814 16.60382 -40 3857 | 166.64253 16.61985 -42.1 3858 | 166.60368 16.63587 -39.3 3859 | 166.56482 16.6519 -34.5 3860 | 166.52595 16.66792 -26.4 3861 | 166.48708 16.68395 -17.8 3862 | 166.44823 16.69997 -13.4 3863 | 166.40937 16.716 -16.8 3864 | 166.3705 16.73202 -24.5 3865 | 166.33163 16.74805 -34 3866 | 166.29278 16.76407 -43.7 3867 | 166.25392 16.7801 -47.2 3868 | 166.21505 16.79612 -48.9 3869 | 166.17618 16.81215 -47.1 3870 | 166.13733 16.82818 -46 3871 | 166.09847 16.8442 -43.8 3872 | 166.0596 16.86023 -39.3 3873 | 166.02075 16.87625 -35.3 3874 | 165.98077 16.89205 -33.3 3875 | 165.94045 16.90778 -27 3876 | 165.90015 16.92352 -20.1 3877 | 165.85983 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-15.9 3942 | 163.33438 17.96072 -16.5 3943 | 163.29527 17.97713 -16.6 3944 | --------------------------------------------------------------------------------